Definition of a 4D continuous polar transformation for the tracking and the analysis of LV motion | Zendy

Jérôme Declerck | Zendy; Jacques Feldmar | Zendy; Nicholas Ayache | Zendy

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Definition of a 4D continuous polar transformation for the tracking and the analysis of LV motion

Author(s) -

Jérôme Declerck,

Jacques Feldmar,

Nicholas Ayache

Publication year - 1997

Publication title -

lecture notes in computer science

Language(s) - English

Resource type - Book series

SCImago Journal Rank - 0.249

H-Index - 400

eISSN - 1611-3349

pISSN - 0302-9743

ISBN - 3-540-62734-0

DOI - 10.1007/bfb0029222

Subject(s) - transformation (genetics) , rotation (mathematics) , computer science , motion (physics) , sequence (biology) , iterative closest point , algorithm , coordinate system , motion analysis , motion estimation , computer vision , biochemistry , chemistry , genetics , biology , point cloud , gene

International audienceA 4D polar transformation is defined to describe the left ventricle (LV) motion and a method is presented to estimate it from sequences of 3D images. The transformation is defined in 3D-planispheric coordinates by a small number of parameters involved in a set of simple linear equations. It is continuous and regular in time and space, periodicity in time can be imposed. The local motion can be easily decomposed into a few canonical motions (centripetal contraction, rotation around the long-axis, elevation). To recover the motion from original data, the 4D polar transformation is calculated using an adaptation of the Iterative Closest Point algorithm. We present the mathematical framework and a demonstration of its feasability on a gated SPECT sequence

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